Burt --
I'm a bit envious, still in the 50s here, no snow 'till end of week maybe. Last year this time we had 30" or so (Penna. lakeshore.) I'm sure that's nothing by your standards, but I love winter. Anyhow, I digress...
I'm starting to wonder about fuel in your case. For sure a good carb tuning and fuel flow inspection is in order.
RE -- Marvel oil or the like -- stuck valves are a common occurrance on the flat head Fords, but usually only if one hasn't been run for a while (a year or so.) Sometimes the trick works, sometimes not. It will, however, foul the living daylights out of your plugs -- so be prepared to change them. Oh, yea -- it smokes terrible too. Personally, I'd do a compression test both hot and cold. If you have a sticky or otherwise poor seating valve the compression test will tell you without the bad plugs, etc. If you have one cylinder that's weak then you could try the Marvel oil -- if not then you know valve seating (or anything compression related) is not the issue.
One thing that I do recommend is Lucas Upper Cylinder Lubricant in the fuel. (Other similar products work too.) Flatheads don't have much of a water jacket in the head. New fuels, especially higher octane blends, burn very rapidly. Some have said that all the combustion is done in the first inch of piston travel. I can't verify that, but the point is that these engines were designed to operate on distilled, leaded gasoline which burned much slower than the modern 89 octane. Modern fuels will deposit all the heat in the upper portion of the cylinder where there isn't much cooling ability. In extreme cases the head can warp from heat; even in normal use the engine is not operating smoothly. The upper cylinder lube retards combustion rate and allows the fuel to burn over more of the stroke resulting in smoother operation and less heat in the head. Also -- and to your point -- it tends to lend an oil coating to the valves which may inhibit sticking. I run the stuff in all my flatheads and haven't done a valve job or head gasket in about six years now. I have, however, gone one heat range up in spark plugs to prevent fouling.
Good luck,
Pete P.
Harborcreek, Penna.